Institut für Geometrie und Topologie, Pfaffenwaldring 57, Universität Stuttgart, 70550 Stuttgart, Germany
Abstract:
Motivated by the famous 3n+1 conjecture, we call a mapping from Z to Zresidue-class-wise affine if there is a positive integer m such that it is affine on residue classes (mod m). This article describes a collection of algorithms and methods for computation in permutation groups and monoids formed by residue-class-wise affine mappings.